The Lean 4 theorem `diagComparison_eq` in the `ChapterNavierStokesFarisLavineLift` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.FarisLavineLift.diagComparison_eqtimepiece
The Lean 4 theorem diagComparison_eq in the ChapterNavierStokesFarisLavineLift chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFarisLavineLift.lean — theorem BookProof.NavierStokesFlow.FarisLavineLift.diagComparison_eq
import Mathlib
import Definitions.Def_ChapterNavierStokesFarisLavineLift
import Definitions.Def_ChapterNavierStokesDeficiency
open BookProof.NavierStokesFlow.DiagonalEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FarisLavineLift
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {d : ℕ} (c : ComparisonData F d)Formal statement
theorem BookProof.NavierStokesFlow.FarisLavineLift.diagComparison_eq (d : ℕ) (p q : Fin d → ℕ → ℝ) :
(diagComparisonData d p q).comparison
= diagOp (fun k => (∑ i, p i k ^ 2) + (∑ i, q i k ^ 2) + 1) := by sorrySource